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Finding the Third Proportional to 126,115 and 263,911

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Solution

The third proportional to 126,115 and 263,911 is: 552,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,115 : 263,911 = 263,911 : x
  2. Step 2: Convert to fraction form
    126,115/263,911 = 263,911/x
  3. Step 3: Cross multiply
    126,115x = 263,911 × 263,911
  4. Step 4: Simplify right side
    126,115x = 69,649,015,921
  5. Step 5: Solve for x
    x = 69,649,015,921/126,115
  6. Step 6: Final answer
    x = 552,265.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.